Optimal. Leaf size=12 \[ -\frac {1}{8} \log \left (1-x^8\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 12, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 13, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.077, Rules used = {260} \[ -\frac {1}{8} \log \left (1-x^8\right ) \]
Antiderivative was successfully verified.
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Rule 260
Rubi steps
\begin {align*} \int \frac {x^7}{1-x^8} \, dx &=-\frac {1}{8} \log \left (1-x^8\right )\\ \end {align*}
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Mathematica [A] time = 0.00, size = 12, normalized size = 1.00 \[ -\frac {1}{8} \log \left (1-x^8\right ) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.51, size = 8, normalized size = 0.67 \[ -\frac {1}{8} \, \log \left (x^{8} - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.16, size = 9, normalized size = 0.75 \[ -\frac {1}{8} \, \log \left ({\left | x^{8} - 1 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [B] time = 0.01, size = 30, normalized size = 2.50 \[ -\frac {\ln \left (x -1\right )}{8}-\frac {\ln \left (x +1\right )}{8}-\frac {\ln \left (x^{2}+1\right )}{8}-\frac {\ln \left (x^{4}+1\right )}{8} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.06, size = 8, normalized size = 0.67 \[ -\frac {1}{8} \, \log \left (x^{8} - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.04, size = 8, normalized size = 0.67 \[ -\frac {\ln \left (x^8-1\right )}{8} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.29, size = 8, normalized size = 0.67 \[ - \frac {\log {\left (x^{8} - 1 \right )}}{8} \]
Verification of antiderivative is not currently implemented for this CAS.
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